I am trying to solve below integration;
$$\int_{0}^{\infty} H_{0}^{1}(pR)\sin(pR)\frac{p}{k^2-p^2} dp$$
here $k,R$ are constants. This is related to the question link.
Below shows my approach to get ...

The following text discusses that the ARD kernel is a regular gaussian kernel but one where $\Sigma$ is diagnonal and one where the $\sigma$'s go to infinity. It seems that the $\kappa$(x,x') would ...

I am trying to solve the following equation;
$$\int_{-1}^{1}e^{i(x+a\cos x)} \, \mathrm{d}(\cos x)$$ or $$\int_{0}^{\pi}e^{i(x+a\cos x)} \sin x \, \mathrm{d}x$$
I tried this in Wolfram Alpha, but it ...

I am fairly new to statistics and just recently encountered queueing theory.
I have programmed a simulation for a $M/M/1$ queue in which I specify the inter-arrival times and service times. I input ...

I'm working with a hierarchical statistical model, whereby the output of a log-normal distribution affects the argument of an exponential distribution. I need to marginalize, obtaining the following ...

Here is the question:Solve $5^{\frac{x}{2}}-2^x=1$
How i tried:I was just looking at the equation and was trying different values of x and got x=2 .But the way to reach answer was not promising so I ...

I tried solving this equation $$3^{2x}+\left(\frac{1}{2}\right)^{-x} \cdot 3^{x+1}-2^{2x+2}=0$$ by taking the log of both sides, but with no results, what do I do? Sorry if this equation is very easy, ...

I need to find the sum of this series $\dfrac{1}{1!} + \dfrac{1+2}{2!} + \dfrac{1+2+3}{3!}+...$ But somehow I am not even convinced this converges. I tried writing it as $\sum \dfrac{n(n+1)}{2(n!)}$. ...

$$\left(\frac{48}{10}\right)^x=\left(\frac{8}{10}\right)^y=1000$$
What is the value of $\frac{1}{x}-\frac{1}{y}$?
I have already used that when $48$ divided by $10$ then it becomes $4.8$ and when $8$ ...